A short proof of the classification of higher rank invariant subvarieties in genus three

TL;DR

This paper presents a concise proof for classifying higher rank invariant subvarieties in genus three, simplifying previous complex arguments using recent techniques.

Contribution

It offers a shorter, more accessible proof of a known classification result in algebraic geometry for genus three surfaces.

Findings

Classification of rank at least two invariant subvarieties in genus three confirmed

New proof reduces complexity of previous arguments

Utilizes recent techniques from Apisa and Wright

Abstract

We give a new short proof of the classification of rank at least two invariant subvarieties in genus three, which is due to Aulicino, Nguyen, and Wright. The proof uses techniques developed in recent work of Apisa and Wright.